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Characterization of the Hilbert ball by its automorphism group | | Kang-Tae Kim
; Steven G. Krantz
; | | Date: |
3 Jun 2001 | | Subject: | Complex Variables; Functional Analysis MSC-class: 32H02, 32H50 | math.CV math.FA | | Abstract: | Let $Omega$ be a bounded, convex domain in a separable Hilbert space. The authors prove a version of the theorem of Bun Wong, which asserts that if such a domain admits an automorphism orbit accumulating at a strongly pseudoconvex boundary point then it is biholomorphic to the ball. Key ingredients in the proof are a new localization argument using holomorphic peaking functions and the use of new ``normal families’’ arguments in the construction of the limit biholomorphism. | | Source: | arXiv, math.CV/0106015 | | Services: | Forum | Review | PDF | Favorites | |
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